Dimension asymptotics for generalised bootstrap in linear regression

Chatterjee, Snigdhansu ; Bose, Arup (2002) Dimension asymptotics for generalised bootstrap in linear regression Annals of the Institute of Statistical Mathematics, 54 (2). pp. 367-381. ISSN 0020-3157

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Official URL: http://www.springerlink.com/content/v8061672044498...

Related URL: http://dx.doi.org/10.1023/A:1022430203955

Abstract

We prove consistency of a class of generalised bootstrap techniques for the distribution of the least squares parameter estimator in linear regression, when the number of parameters tend to infinity with data size and the regressors are random. We show that best results are obtainable with resampling techniques that have not been considered earlier in the literature.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Bootstrap; Jackknife; Regression; Dimension Asymptotics
ID Code:5495
Deposited On:19 Oct 2010 12:07
Last Modified:25 Jan 2011 03:36

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